Search a number
-
+
12310133021130 = 2357214541273233
BaseRepresentation
bin1011001100100010110100…
…0110110001100111001010
31121120211121100001221100110
42303020231012301213022
53103142123023134010
642103110321015150
72410243400132460
oct263105506614712
947524540057313
1012310133021130
113a1677519092a
1214699527844b6
136b3ac0941589
14307b567cc830
15165334eb6120
hexb322d1b19ca

12310133021130 has 64 divisors (see below), whose sum is σ = 33765217244928. Its totient is φ = 2813721277440.

The previous prime is 12310133021111. The next prime is 12310133021141. The reversal of 12310133021130 is 3112033101321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12310133021097 and 12310133021106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44916994 + ... + 45190226.

It is an arithmetic number, because the mean of its divisors is an integer number (527581519452).

Almost surely, 212310133021130 is an apocalyptic number.

12310133021130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12310133021130 is an abundant number, since it is smaller than the sum of its proper divisors (21455084223798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12310133021130 is a wasteful number, since it uses less digits than its factorization.

12310133021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487791.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12310133021130 its reverse (3112033101321), we get a palindrome (15422166122451).

The spelling of 12310133021130 in words is "twelve trillion, three hundred ten billion, one hundred thirty-three million, twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 214541 273233 429082 546466 643623 819699 1072705 1287246 1366165 1501787 1639398 1912631 2145410 2732330 3003574 3218115 3825262 4098495 4505361 5737893 6436230 7508935 8196990 9010722 9563155 11475786 15017870 19126310 22526805 28689465 45053610 57378930 58619681053 117239362106 175859043159 293098405265 351718086318 410337767371 586196810530 820675534742 879295215795 1231013302113 1758590431590 2051688836855 2462026604226 4103377673710 6155066510565 12310133021130